E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose

Answers

Answer 1

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78


Related Questions

Pleasee help me with this!!

Answers

Answer:

#1 is f.

#2 is d.

#3 is a.

#4 is b.

#5 is c.

#6 is g.

#7 is e.

Step-by-step explanation:

The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.

The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.

The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.

What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)​

Answers

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Ayuda
Which of the following represents the isolate the variable "r" from the following formula?
V = K * q / r

Answers

Answer:

  r = K * q / V

Step-by-step explanation:

V =  K * q / r

What is the function rule for the line?

Answers

Answer:

y =2/3x -2

Step-by-step explanation:

The y intercept is -2

The slope is

m = (y2-y1)/ (x2-x1)

Using the points (0,-2) and  (3,0)

m = ( 0 - -2)/(3 -0)

    = (0+2)/(3-0)

   = 2/3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y =2/3x -2

Please help me with this question please and thank you ❤️

Answers

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

please I really need help with this

Answers

Answer:

24

Step-by-step explanation:

(1+25) - (16)(1/8)

26 - 2

24

Cheers

Answer:

24

Step-by-step explanation:

(1+5^2) -16 ( 1/2)^3

PEMDAS

Parentheses first

Exponents in the parentheses

(1+25) -16 ( 1/2)^3

Then add in the parentheses

(26) -16 ( 1/2)^3

Then exponents

(26) -16 ( 1/8)

Then multiply

26 - 2

Then subtract

24

Solve the following system of equations. -5x - 4y= -11 7x + 3y = 18

Answers

Step-by-step explanation:

-5x - 4y= -117x + 3y = 18

-5x +117x = 3y + 4y = 18

112x = 7y = 18

It cost David $16.75 to fill his 5-gallon gas can.

1. Write two different rates.
2. What is the best unit rate to use?
3. If David decided to fill up his car that has a 22-gallon gas tank, would $73 be enough to cover it? If so, how much does he have leftover? If not, how much is he short?

Answers

Answer: I divided 16.75 by 5

Step-by-step explanation:

For every 1 gallon hes using 3.35

So 22 x 3.35 is 73.70 so hell need 70 cent more

Please help me out with this one!

Answers

Are you sure you need this it’s summer

Answer:

87 in^2

Step-by-step explanation:

24 + 18 + 15 + 30

the 30  is 2(1/2 * 5 * 6)

Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow

Answers

I = Prt
I=1020
r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700

aint the answer for this 10 just let me if im wrong​

Answers

Answer:

Yup

Step-by-step explanation:

Which graph represents the function f(x) = √x+3 – 1?

Answers

Answer:

look at the png below

Step-by-step explanation:

What product is positive (2/5)(-8/9)(-1/3)(-2/7). (-2/5)(8/9)(-1/3)(-2/7). (2/5)(8/9)(1/3)(-2/7). (-2/5)(-8/9)(1/3)(2/7)

Answers

Answer:

d

Step-by-step explanation:

a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945

b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945

c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945

d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945

Answer:

D

Step-by-step explanation:

32/945 is the final answer

Which expression is equivalent to 6(3n-4)?
1)9n-10
2)18n-24
3)18n-4
4) 3n-24

Answers

Answer:

[tex]18n - 24[/tex]

Step-by-step explanation:

[tex]6(3n - 4) = 18n - 24[/tex]

Answer:

18n-24

Step-by-step explanation:

6(3n-4)

Open the brackets .......

(6×3n)-(6×4)

=18n_24

Use the data in the table to complete the sentence.
х
-2
-1

0
1

y
7
6
5
4

The function has an average rate of change of ______.

Answers

Answer:

-1

Step-by-step explanation:

Increasing the x-value by one results in the y-value decreasing by 1. Therefore, the average rate of change is -1.

Answer: -1

Step-by-step explanation: ;)

what is the value of the expression below? (8^5/3)^1/5

Answers

Answer:

8^1/3

Step-by-step explanation:

(8^5/3)^1/5

8^5/3×1/5

8^5/15

8^1/3

Answer:

Step-by-step explanation:

Exponent Rule: [tex](a^{m})^{n}=a^{m*n}[/tex]

[tex](8^{\frac{5}{3}})^{\frac{1}{5}}= 8^{\frac{5}{3}}*{\frac{1}{5}}\\\\\\=8^{\frac{1}{3}}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2[/tex]

Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)

Answers

Answer:

[tex]x + 2x + 34 + 20 = 180 [/tex]

Answer:

x=42

Step-by-step explanation:

Statement Reason

1. m∠AOB = 180° —  Def. of straight ∠

2. m∠AOE + m∠EOF + m∠FOB = m∠

AOB      —-    Parts − whole Postulate

3. x + 2x+34° + 20° = 180°  —-   Substitution

4. x = 42°.  —- Algebra

This is statement and reason! (no problem rsm people)

f(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?

Answers

Answer:

[tex]g(x) = x^2+7x+12[/tex]

Step-by-step explanation:

If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.

We have the function:

[tex]f(x)=x^2+3x+2[/tex]

And we want to shift it two units to the left.

Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:

[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]

Simplify. Expand:

[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]

Combine like terms. Hence:

[tex]g(x) = x^2+7x+12[/tex]

how can you find the slope of a line and use it to
solve problems?

Answers

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?

SHOW YOUR WORK.​

Answers

Answer:

Solution given:

in 1990

cost of orange[C.P]=$0.56

in 2003

cost of orange[S.P]=$0.86

now

increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3

Now

increased percent [profit%]=?

we have

profit%=profit/c.p*100%

=0.3/0.56*100=53.57℅

Therefore

the oranges appreciated by 53.57%

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound

Find:-percentage of increasing

Solution:-

we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.

so,

C.P of 1990=0.56$c.p of 2003=0.86$

[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]

we know that,

[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]

According to the question,

[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex]

[tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex]

[tex]\sf{percentage_{(profit)}=53.57\% }[/tex]

Consider the following 8 numbers, where one labelled
x
is unknown.
12, 46, 31,
x
, 49, 24, 41, 14
Given that the range of the numbers is 63,
work out 2 values of
x
.

Answers

Put the data set in order:

12, 14, 24, 31, 41, 46, 49

In order to find a value of x using the range, x has to be on either end of the data set. Meaning:

x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

Since the range is the highest value minus the lower value, you can set two equations for x:

x - 12 = 63

x = 75

49 - x = 63

x = -14

Thus, x = 75, -14

Two values of x are -14 & 75

What is range of numbers ?

The difference between highest and lowest numbers of the set of numbers is called the range of numbers.

What are the values of x ?

The given values are 12, 46, 31, 49, 24, 41, 14

Arranging all the values in ascending order we get,

12, 14, 24, 31, 41, 46, 49

If x will be included, then x is in the 1st position or in the last position.

Then the values are x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x

The range of the number is 63

So, we get two equations from it.

1 ) 49-x = 63

2 ) x-12 = 63

Solving eq. (1) we get, x = 49-63 = -14

Solving eq. (2) we get, x = 63+12 = 75

So the values of x are -14 & 75

Learn more about range of number here :

https://brainly.com/question/10081172

#SPJ2

What is a counterexample to this claim? Dividing a number by 2 always results in a smaller number.

Answers

Given:

Dividing a number by 2 always results in a smaller number.

To find:

The counterexample to the given claim.

Solution:

If 0 is divided by is divided by any non-zero real number [tex]a[/tex], then

[tex]\dfrac{0}{a}=0[/tex]

Let us consider the unknown number be 0. Then dividing a number by 2, we get

[tex]\dfrac{0}{2}=0[/tex]

Here, the result is not a smaller number because [tex]0=0[/tex].

Therefore, the counterexample to the given claim is "Dividing 0 by 2".

Answer:

-1

Step-by-step explanation:

Two cars that are 600km apart are moving towards each other. Their speeds differ by 6km per hour and the cars are 123km apart after 4.5 hours. Find the speed of each car

Answers

Answer: [tex]56\ kmph,\quad 50\ kmph[/tex]

Step-by-step explanation:

Given

Two cars are 600 km apart moving towards each other

Difference in their speed is 6 kmph

After 4.5 hr, they are 123 km apart that is, they covered a distance of [tex]600-123=477\ km[/tex] in 4.5 hours

Suppose their speeds is [tex]v_1\ \text{and}\ v_2[/tex]

[tex]\therefore v_1-v_2=6\quad \ldots(i)[/tex]

Also, distance traveled is given by

[tex]\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)[/tex]

Solve, (i) and (ii) , we get [tex]v_1=56\ kmph\ \text{and}\ v_2=50\ kmph[/tex]

When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other. = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot = StartRoot (x minus 0) squared + (y minus p) squared EndRoot The distance between the directrix and is set equal to the distance between the and the same point on the parabola.

Answers

Answer:

The answer is "A point on the parabola  and Focus".

Step-by-step explanation:

[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]

Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.

The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.

Answer:

The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.

Step-by-step explanation:

Hope this helps! :)

1/2a=11

a=? P.S I am not in high school I am in 4TH GRADE!!!

Answers

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain​

Answers

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

simplify 6÷[5{6÷(5-2)}]

answer correctly i will give brainliest.

Answers

Answer:

hope this helppppp youuu

the answer is 0.6 :)

What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..

Answers

Answer:

Area of label = 100 inch² (Approx.)

Step-by-step explanation:

Given:

Height of label = 8 inches

Diameter of label = 4 inches

Find:

Area of label

Computation:

Design of label = Rectangle

So,

Width of label = 2πr

Width of label = 2(3.14)(4/2)

Width of label = 2(3.14)(2)

Width of label = 12.56 inches

Area of label = Height of label x Width of label

Area of label = 12.56 x 8

Area of label = 100.48

Area of label = 100 inch² (Approx.)

Mrs.Click has a strawberry patch in her garden. It's border is 4/5 meters wide and 3/2 meters long. What is the area of Mrs.Clicks Garden?

Answers

Answer

Mrs. Click's Garden is 6/5 or 1 1/5 square meters.

Explanation

Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.

To multiply fractions, you multiply the numerator by the denominator.

4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.

A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine the magnitude of the load.​

Answers

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

the magnitude of the load is 2000N.
Other Questions
"What would happen if we waited a week before trying this idea?" What kind of language is this?A. BlockingOB. SpeculativeOC. HypotheticalOD. Exploratory define glandular system name the dynasty rural over China The blue team scored two more than five times the number of points,p, scored by the red team Write an expression for the problem can someone please help me solve this? Convert 13pi/6 to a degree measure A=390B=2450.44C=30D=780 Write an essay on a wedding you attended last year in 450 word HELP ME PLEASE FASSTWhich of the following describes a scenario that could increase the winds of the jet stream? O Faster global convection currents O Decreasing radiation from the sun O Equal heating of the Earth's surface O Stopping conduction from the ground Write an equation of the line. What is the equation of the line? Jobs contends that you need to love what you do in order to be great at it. Do you agree or disagree? Why Can somebody help me Help me please Which school faculty member should you talk to about enrolling in an APcourse? Financial compensation for a loss in a war, paid by the losing side, are called:A. RecessionsB. Costs of defeatC. ReparationsD. Deficits Country A and Country B have had an informal trading arrangement for many years wherein merchants on the border of the countries may freely trade goods without the restriction of fees. Which of the following is true?a. The government of Country A may not arbitrarily begin to charge fees for items brought in from Country B.b. Country A and Country B have a binding agreement to this arrangement under customary international law.c. Country A and Country B have no binding agreement under customary international law.d. More than one response is correct. a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal? who was the first astronaut to be in space Which of the following statements best describes Rome's expansion into theMediterranean region? Select two choices that are true about the function f(x)=23x+14/x Identify the glide reflection rule in the given figure.Question 8 options:Translation: (x,y) (x 5,y); Reflection across y-axisTranslation: (x,y) (x,y 5); Reflection across y-axisTranslation: (x,y) (x,y + 5); Reflection across y-axisTranslation: (x,y) (x,y + 5); Reflection across x-axis